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Finding the Fourth Proportional to 3,762.24, 5,643.40 and 1,026.24

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Solution

The fourth proportional to 3,762.24, 5,643.40 and 1,026.24 is: 1,539.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.24 : 5,643.40 = 1,026.24 : x
  2. Step 2: Convert to fraction form
    3,762.24/5,643.40 = 1,026.24/x
  3. Step 3: Cross multiply
    3,762.24x = 5,643.40 × 1,026.24
  4. Step 4: Simplify right side
    3,762.24x = 5,791,482.82
  5. Step 5: Solve for x
    x = 5,791,482.82/3,762.24
  6. Step 6: Final answer
    x = 1,539.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.